The number 40167
40167 is a composite number with 6 divisors. Its prime factorisation is × 4463. Divisors (6): 1, 3, 9, 4463, 13389, 40167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40167 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40167 is composite. Its prime factorisation is
- 3
The divisors add up to 58032; without 40167 itself that is 17865, so 40167 is deficient (17865 is less than 40167). Euler's totient φ(40167) = 26772 numbers up to 40167 share no factor with it.
- 4
The digits of 40167 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40167 = 3^{2} \times 4463 \]40167 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 58032 |
| Euler totient φ(n) | 26772 |
| Square | 1613387889 |
| Cube | 64804951337463 |
| Square root | 200.417065 (= 3√4463) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 67 |
| Scientific notation | 4.0167 × |
40167 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and sixty-seven |
| Binary (base 2) | 1001110011100111 |
| Octal (base 8) | 116347 |
| Hexadecimal (base 16) | 9CE7 |
| Base 3 | 2001002200 |
| As time | 40167 seconds = 11 h 9 min 27 s |
Is 40167 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40167 ÷ 3 = 13389) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40167 ÷ 9 = 4463) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40167 a prime number?
No. 40167 = × 4463, so it is divisible by 3.
What are the factors of 40167?
1, 3, 9, 4463, 13389, 40167.
What is 40167 in binary?
1001110011100111 (hexadecimal 9CE7, octal 116347).
What is the square root of 40167?
About 200.4171, exactly 3√4463.
Is 40167 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40167?
It is a composite number with 6 divisors.